30244

Question

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Worked Solution

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Variant 0

DifficultyLevel

100

Question

In the following figures, all angles are 90°\degree.

For which figures is the length of the perimeter the same?

Worked Solution

Calculate the perimeter of each figure
$$ \text{Perimeter I} $$ = 4+2+2+4+4+2+2+4
= 24

$$ \text{Perimeter II} $$ = 6+6+6+2+2+2+2+2
= 28

$$ \text{Perimeter III} $$ = 6+6+6+6
= 24

∴\therefore Figures I and III have the same perimeter

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
image1
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/03/RAPH-Q3_var0.svg 350 indent3 vpad
part1
In the following figures, all angles are 90$\degree$.
part2
For which figures is the length of the perimeter the same?
solution1
Calculate the perimeter of each figure
| | | | --------------------- | ------------------------------------------- | | $$ \text{Perimeter I} $$ | \= 4+2+2+4+4+2+2+4 | | | \= 24 |

| | | | --------------------- | ------------------------------------------- | | $$ \text{Perimeter II} $$ | \= 6+6+6+2+2+2+2+2 | | | \= 28 |

| | | | --------------------- | ------------------------------------------- | | $$ \text{Perimeter III} $$ | \= 6+6+6+6 | | | \= 24 |

$\therefore$ Figures I and III have the same perimeter
correctAnswer
I and III

Answers

Is Correct?Answer
x

I and II

✓

I and III

x

II and III

x

I, II and III

Variant 1

DifficultyLevel

100

Question

In the following figures, all angles are 90°\degree.

For which figures is the length of the perimeter the same?

Worked Solution

Calculate the perimeter of each figure
$$ \text{Perimeter I} $$ = 2+2+2+2+2+2+2+2+2+2+2+2
= 24

$$ \text{Perimeter II} $$ = 6+6+6+6
= 24

$$ \text{Perimeter III} $$ = 6+2+2+2+2+2+6+2+2+2+2+2
= 32

∴\therefore Figures I and II have the same perimeter

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
image1
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/03/RAPH-Q3_var1.svg 350 indent3 vpad
part1
In the following figures, all angles are 90$\degree$.
part2
For which figures is the length of the perimeter the same?
solution1
Calculate the perimeter of each figure
| | | | --------------------- | ------------------------------------------- | | $$ \text{Perimeter I} $$ | \= 2+2+2+2+2+2+2+2+2+2+2+2 | | | \= 24 |

| | | | --------------------- | ------------------------------------------- | | $$ \text{Perimeter II} $$ | \= 6+6+6+6 | | | \= 24 |

| | | | --------------------- | ------------------------------------------- | | $$ \text{Perimeter III} $$ | \= 6+2+2+2+2+2+6+2+2+2+2+2 | | | \= 32 |

$\therefore$ Figures I and II have the same perimeter
correctAnswer
I and II

Answers

Is Correct?Answer
✓

I and II

x

I and III

x

II and III

x

I, II and III

Variant 2

DifficultyLevel

100

Question

In the following figures, all angles are 90°\degree.

For which figures is the length of the perimeter the same?

Worked Solution

Calculate the perimeter of each figure
$$ \text{Perimeter I} $$ = 6+6+6+6
= 24

$$ \text{Perimeter II} $$ = 6+6+2+2+2+2+2+2
= 24

$$ \text{Perimeter III} $$ = 4+4+2+2+4+4+2+2
= 24

∴\therefore All the figures have the same perimeter

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
image1
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/03/RAPH-Q3_var2.svg 350 indent3 vpad
part1
In the following figures, all angles are 90$\degree$.
part2
For which figures is the length of the perimeter the same?
solution1
Calculate the perimeter of each figure
| | | | --------------------- | ------------------------------------------- | | $$ \text{Perimeter I} $$ | \= 6+6+6+6 | | | \= 24 |

| | | | --------------------- | ------------------------------------------- | | $$ \text{Perimeter II} $$ | \= 6+6+2+2+2+2+2+2 | | | \= 24 |

| | | | --------------------- | ------------------------------------------- | | $$ \text{Perimeter III} $$ | \= 4+4+2+2+4+4+2+2 | | | \= 24 |

$\therefore$ All the figures have the same perimeter
correctAnswer
I, II, and III

Answers

Is Correct?Answer
x

I and II

x

I and III

x

II and III

✓

I, II, and III

Variant 3

DifficultyLevel

100

Question

In the following figures, all angles are 90°\degree.

For which figures is the length of the perimeter the same?

Worked Solution

Calculate the perimeter of each figure
$$ \text{Perimeter I} $$ = 4+4+2+2+4+2+2+4
= 24

$$ \text{Perimeter II} $$ = 2+4+4+2+6+6
= 24

$$ \text{Perimeter III} $$ = 6+6+6+6
= 24

∴\therefore All the figures have the same perimeter

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
image1
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/03/RAPH-Q3_var3.svg 350 indent3 vpad
part1
In the following figures, all angles are 90$\degree$.
part2
For which figures is the length of the perimeter the same?
solution1
Calculate the perimeter of each figure
| | | | --------------------- | ------------------------------------------- | | $$ \text{Perimeter I} $$ | \= 4+4+2+2+4+2+2+4 | | | \= 24 |

| | | | --------------------- | ------------------------------------------- | | $$ \text{Perimeter II} $$ | \= 2+4+4+2+6+6 | | | \= 24 |

| | | | --------------------- | ------------------------------------------- | | $$ \text{Perimeter III} $$ | \= 6+6+6+6 | | | \= 24 |

$\therefore$ All the figures have the same perimeter
correctAnswer
I, II, and III

Answers

Is Correct?Answer
x

I and II

x

I and III

x

II and III

✓

I, II, and III

Variant 4

DifficultyLevel

100

Question

In the following figures, all angles are 90°\degree.

For which figures is the length of the perimeter the same?

Worked Solution

Calculate the perimeter of each figure
$$ \text{Perimeter I} $$ = 6+6+6+6
= 24

$$ \text{Perimeter II} $$ = 4+2+2+4+2+2+2+2+2+2
= 24

$$ \text{Perimeter III} $$ = 6+6+6+2+4+2+4+2
= 32

∴\therefore Figures I and II have the same perimeter

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
image1
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/03/RAPH-Q3_var4.svg 350 indent3 vpad
part1
In the following figures, all angles are 90$\degree$.
part2
For which figures is the length of the perimeter the same?
solution1
Calculate the perimeter of each figure
| | | | --------------------- | ------------------------------------------- | | $$ \text{Perimeter I} $$ | \= 6+6+6+6 | | | \= 24 |

| | | | --------------------- | ------------------------------------------- | | $$ \text{Perimeter II} $$ | \= 4+2+2+4+2+2+2+2+2+2 | | | \= 24 |

| | | | --------------------- | ------------------------------------------- | | $$ \text{Perimeter III} $$ | \= 6+6+6+2+4+2+4+2 | | | \= 32 |

$\therefore$ Figures I and II have the same perimeter
correctAnswer
I and II

Answers

Is Correct?Answer
✓

I and II

x

I and III

x

II and III

x

I, II and III

Tags

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